What to use to glue a heated wing mirror glass back on?

The glass part of the wing mirror has fallen off my girlfriends Civic. It’s not broken and the back of the glass is clean. It doesn’t look like there was any glue on it even! So, as a new self adhesive mirror glass is £30 odd, I would like to glue the old one back on. But what should I use to glue it back on?

I’ve had a look in my garage and I only have wood glue and No More Nails. Neither are any good, No More Nails specifically says not to use on mirrors. Any ideas? If it makes a difference, the mirror is heated.

I think that specific product is for attaching your internal mirror to the windscreen.

For an external mirror glass I would use good old-fashioned EVO-STIK and follow the instructions properly. Namely coat BOTH surfaces and let it become dry to the touch before pressing together. Good stuff.